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Theorems · Theorem · number theory

three_pos

∀ {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : PartialOrder α] [ZeroLEOneClass α] [NeZero 1] [AddLeftMono α],
  0 < 3

Alias of zero_lt_three. See zero_lt_three' for a version with the type explicit.

Defined in
Mathlib.Algebra.Order.Monoid.NatCast
Cited by
2 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext
Assumes
AddMonoidWithOnePartialOrderZeroLEOneClassNeZeroAddLeftMono
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

centralBinom_factorization_small · cited by 1centralBinom_factorizatio…WeierstrassCurve.natDegree_Ψ₂Sq_pos · cited by 1WeierstrassCurve.natDegre…PartialOrder · cited by 6410PartialOrderAddLeftMono · cited by 687AddLeftMonoAddMonoidWithOne · cited by 313AddMonoidWithOneZeroLEOneClass · cited by 304ZeroLEOneClasszero_lt_three · cited by 10zero_lt_threethree_posCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.